| 一类二阶n-维中立型微分系统周期解问题 |
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| 引用本文： | 鲁世平,葛渭高.一类二阶n-维中立型微分系统周期解问题[J].数学学报,2003,46(3):601-610. |
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| 作者姓名： | 鲁世平 葛渭高 |
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| 作者单位： | 1. 安徽师范大学数学系,芜湖241000
2. 北京理工大学应用数学系,北京,100081 |
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| 基金项目： | 国家自然科学基金资助项目(19871005)，安徽省教育厅自然科学基金资助项目(2002kj133) |
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| 摘 要： | 笔者利用重合度原理研究一类二阶n-维中立型微分系统(d2)/(dt2)(x(t)-Cx(t- ))+d/(dt)gradF(x(t))+gradG(x(t-τ(t)))=p(t)的周期解问题,得到了周期解存在性的新结果,推广了已有工作中相应的结论.
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| 关 键 词： | 重合度原理 中立型微分系统 周期解 |
| 文章编号： | 0583-1431(2003)03-0601-10 |
| 修稿时间： | 2001年9月17日 |
On the Existence of Periodic Solutions for a Kind of Second Order n-Dimensional Neutral Differential Systems |
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| Shi Ping -LIT.On the Existence of Periodic Solutions for a Kind of Second Order n-Dimensional Neutral Differential Systems[J].Acta Mathematica Sinica,2003,46(3):601-610. |
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| Authors: | Shi Ping -LIT |
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| Institution: | Shi Ping -LIT (Department of Mathematics, Anhui Normal University, Wuhu 241000, P. R. China)
Wei Gao GE (Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China) |
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| Abstract: | By using the coincidence degree principle, the authors study periodic solutions for the second order n-dimensional neutral differential system (d2)/(dt2)(x(t)- Cx(t-)) + d/(dt)gradF(x(t))+gradG(x(t-τ(t))) = p(t). Some sufficient conditions to guarantee the existence of periodic solutions to the system are obtained. Meanwhile, our results improve and extend the corresponding ones already known. |
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| Keywords: | Coincidence degree principle Neutral differential system Periodic solution |
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